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Lattice polytopes, Hecke operators, and the Ehrhart polynomial
Grid polyhedron the singular lattice polyhedron
2014/12/25
Let P be a simple lattice polytope. We define an action of the Hecke operators on E(P), the Ehrhart polynomial of P, and describe their effect on the coefficients of E(P). We also describe how the Bri...
Asymptotic Distribution Of The Roots Of The Ehrhart Polynomial Of The Cross-Polytope
Asymptotic Distribution Roots Of The Ehrhart Polynomial eCross-Polytope
2011/1/20
We use the method of steepest descents to study the root distribution of the Ehrhart polynomial of the d-dimensional cross-polytope, namely Ld, as d ! 1. We prove that the distribution function of the...